Enumeration of Gelfand-Tsetlin patterns defined by a
given skew partition and a given weight.
Usage
skewGelfandTsetlinPatterns(lambda, mu, weight)
Value
A list of matrices with non-negative integer entries. The number
of columns of these matrices is the length of lambda and the
number of rows of these matrices is one plus the length of weight.
Arguments
lambda, mu
integer partitions defining the skew partition:
lambda is the outer partition and mu is the inner partition
(so mu must be a subpartition of lambda); lambda
will be the last row of the generated Gelfand-Tsetlin patterns and
mu will be their first row
weight
integer vector; this vector will be the
differences of the row sums of the generated Gelfand-Tsetlin patterns;
consequently, there will be no generated Gelfand-Tsetlin pattern unless
the sum of weight equals the difference between the sum of
lambda and the sum of mu